CLEP Precalculus

CLEP Precalculus covers essential mathematical concepts and skills necessary for success in calculus and higher-level mathematics.

Practical Applications

Optimizing Profits with Quadratic Functions

Math Meets Business

Quadratic functions help companies determine the price or quantity that maximizes profits or minimizes costs. The vertex of a parabola represents the optimal point.

The Profit Equation

Let \( P(x) = ax^2 + bx + c \), where \( x \) is the number of items sold. The maximum profit happens at \( x = -\frac{b}{2a} \).

In the Real World

Businesses use these models to set prices, plan production, and make decisions that keep them ahead of the competition.

Examples

  • Finding the number of tickets to sell to maximize concert profits.

  • Deciding how many products to produce to minimize manufacturing costs.